Calc 3 Exam 1

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Author:
squeke22
ID:
236147
Filename:
Calc 3 Exam 1
Updated:
2013-09-21 14:28:14
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Exam
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Description:
vectors and three dimensional shapes
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  1. Distance Formula
    d=
  2. sphere of radius r and center (h,j,k)
  3. equation of a plane
  4. standard basis vectors
    • i= <1,0,0>
    • j= <0,1,0>
    • k= <0,0,1>
  5. unit vector
    a vector of length 1
  6. Dot Product



  7. When are two vectors parallel to each other?
    When they are scalar multiples
  8. When are two vectors orthoganal or perpendicular to each other?
    When their dot products is zero
  9. what is the equations of
  10. Scalar Projection
  11. what does the cross product help to find?
    the area
  12. what is the product of a cross product?
    a vector perpendicular to both a and b
  13. Dot product produces a?
    scalar
  14. Cross product produces a?
    vector
  15. Vector equation for a line
    • is the point
    • is the vector
  16. equation of a plane


  17. Two things needed to produce an equation of a line
    • point
    • parallel vector
  18. Two things needed to produce a plane
    • point
    • perpendicular vector
  19. Ellipsoid
  20. Elliptic Paraboloid
  21. Hyperboloid on one sheet
  22. Hyperboloid on two sheets
  23. Cone
  24. hyperbolic paraboloid
  25. Define space curve
    any curve in space
  26. formula for a helix

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